This quantity includes contributions from the convention on 'Algebras, Representations and functions' (Maresias, Brazil, August 26 - September 1, 2007), in honor of Ivan Shestakov's sixtieth birthday. This publication might be of curiosity to graduate scholars and researchers operating within the idea of Lie and Jordan algebras and superalgebras and their representations, Hopf algebras, Poisson algebras, Quantum teams, workforce earrings and different subject matters

This quantity includes the complaints of the AMS distinctive consultation on Harmonic research and Representations of Reductive, $p$-adic teams, which was once hung on January sixteen, 2010, in San Francisco, California. one of many unique guiding philosophies of harmonic research on $p$-adic teams used to be Harish-Chandra's Lefschetz precept, which urged a powerful analogy with actual teams.

Beginning with the elemental notions and ends up in algebraic extensions, the authors provide an exposition of the paintings of Galois at the solubility of equations via radicals, together with Kummer and Artin-Schreier extensions through a bankruptcy on algebras which includes, between different issues, norms and lines of algebra components for his or her activities on modules, representations and their characters, and derivations in commutative algebras.

The ebook is dedicated to the research of algebraic constitution. The emphasis is at the algebraic nature of actual automation, which seems to be as a typical three-sorted algebraic constitution, that enables for a wealthy algebraic concept. in line with a basic classification place, fuzzy and stochastic automata are outlined.